Publications

1. George Androulakis, and Tiju Cherian John, Petz-Rényi Relative Entropy of Thermal States and their Displacements Letters in Mathematical Physics, Volume 114, article number 57, (2024), 17 April 2024 https://doi.org/10.1007/s11005-024-01805-z  ArXiv: https://doi.org/10.48550/arXiv.2303.03380

2. George Androulakis and Tiju Cherian John, Relative Entropy via Distribution of Observables, accepted for publication at Infinite Dimensional Analysis, Quantum Probability and Related Topics, July 31, 2023, DOI: https://doi.org/10.1142/S0219025723500212. ArXiv:  arxiv.org/abs/2203.01964 

3. George Androulakis and Tiju Cherian John, Quantum f-divergences via Nussbaum-Szkoła Distributions and Applications to f-divergence Inequalities, accepted for publication Reviews in Mathematical Physics, June 19, 2023, DOI: https://doi.org/10.1142/S0129055X23600024. ArXiv: arxiv.org/abs/2308.02929  

There are two blog Posts on this research, they can be read here and here. (Thanks to George!)

4.  Tiju Cherian John and K. R. Parthasarathy, A Common Parametrization for Finite Mode Gaussian States, their Symmetries and associated Contractions with some Applications, Journal of Mathematical Physics, Vol 62, 022102 (2021), DOI:  https://doi.org/10.1063/5.0019413 ;  arXiv e-prints 1911.06555 

5. B. V. Rajarama Bhat and Tiju Cherian John, Real Normal Operators and Williamson's Normal Form,  Acta Sci Math (Szeged), Volume 85, Numbers 3-4, 2019   DOI: 10.14232/actasm-018-570-5 ; arXiv e-prints 1804.03921

6. B. V. Rajarama Bhat, Tiju Cherian John and R. Srinivasan, Infinite mode Quantum Gaussian States, Reviews in Mathematical Physics, Vol 31, 2019, DOI: 10.1142/S0129055X19500302 ;arXiv e-prints 1804.05049  

Preprints

1. Natanael Alpay and Tiju Cherian John, Thermal States on Mittag-Leffler Fock Space of the Slitted Plane, arXiv:2306.14044 

2. Tiju Cherian John, V. B. Kiran Kumar and Anmary Tonny, An Interlacing Relation between Eigenvalues and Symplectic Eigenvalues of Some Infinite Dimensional Operators,  arXiv:2212.03900

PhD Thesis

Infinite mode quantum Gaussian states (Pro Quest link is here, if the link to Indian Statistical Institute is not working)